Welcome VTMech, quite a fiery lil'Lass ya got thar; holding her own here, already started a thread that is in top 10 for replys and views for any thread in the Climber's Forum since it started; only she did it in ~1 day, compared to some threads running a month or so! MB, ya might 've been a quick riser, but ya might have competition here!
VTMech, them numbers and symbols, get to lookin'Greek to me; so i cheat. Dave Spenscer of VerticalPro posted a sheet a while back at TB, been rewerked some; it shows 2 angles for lifting on a "2:1" to some, at different angles called a DWT'round these parts. For simpler stuff than that i just use the same spreadsheet, just reading "m"(weight), "A"(angle), and "t"(line tension) values. It too assumes pull from middle, i think same pattern as your calculation, but some discrepancy ~10degress per the loading value you quote. Same pattern and ~rise, none the less each good enough for guestimating.
The filter doesn't accept .xls extensions. So i just made it end in .txt and it goes, but you have to change it back to .xls manually; to read in Excel, then if you change the weight or angle values,the sheet calculates the permutations of the rest of the table, spread out in 10degree increments for easy comparison.
It is my observation that the percentage of the leveraged loading to the actual load is the same at any given degree; and there the pattern of loading is evident. Also, the more dynamic loading change per degree of change is greater nearer to flat. It takes 0-120 degrees to change the loading 50%, but only then 20 degrees more (120 to 140) to change the leveraged loading almost the same 50%! i think that bending the line 1 degree from flat to 179 degrees, gives mind blowing leverage, making sweating in a tight line fantastic!
Glad your here! My HTML changeover for Excel isn't werking, so i can't post a 'stagnant' sheet that you can't change the numbers on, but anyone could read.